Question

z^3+64

Answer 1

what about it? If you clarify on the problem we can give it a shot

Answer 2

\[z ^{3}+64\]

Answer 3

I need to find the sum of 2 cubes

Answer 4

and is this the volume of one cube, or two?

Answer 5

The example says we need to factor the sum of 2 cubes

Answer 6

ahhh I see...one moment

Answer 7

ok

Answer 8

what you'll need for this problem is the sum of cubes formula, do you remember it?

Answer 9

\[a ^{3}+b ^{3}=(a+b)(a ^{2}-ab+b ^{2})\]

Answer 10

great! Exactly what we're looking for! Now, look at z as a and b cubed as 63, where you have something like this:
\[a^{3}+b^{3}=(a+b)(a^{2}-ab+b^{2})\]
\[z^{3} + (\sqrt[3]{64})^{3}=(z+\sqrt[3]{64})(z^{2}-z \sqrt[3]{64}+\sqrt[3]{64}^{2})\]
just take the cube root of 64, plug it into the above equation, and you should have your answer.